Elena Walked 20 Minutes More Than Lin. Jada Walked Twice As Long As Elena. Jada Walked For 90 Minutes. The Equation 2 ( X + 20 ) = 90 2(x+20)=90 2 ( X + 20 ) = 90 Describes This Situation.Match Each Expression With The Part Of The Story It Represents:A. X X X - The

Introduction

In this article, we will delve into a mathematical problem that involves solving an equation to determine the time each person walked. The problem states that Elena walked 20 minutes more than Lin, Jada walked twice as long as Elena, and Jada walked for 90 minutes. We will use the equation $2(x+20)=90$ to represent this situation and match each expression with the part of the story it represents.

The Equation

The equation $2(x+20)=90$ can be broken down into three main components:

• $x$: This represents the unknown value that we need to solve for.
• $x+20$: This represents the time that Elena walked, which is 20 minutes more than Lin.
• $2(x+20)$: This represents the time that Jada walked, which is twice as long as Elena.
• $90$: This represents the total time that Jada walked.

Breaking Down the Equation

To solve the equation, we need to isolate the variable $x$. We can start by dividing both sides of the equation by 2:

$$2(x+20)=90$$

$$x+20=\frac{90}{2}$$

$$x+20=45$$

Now, we can subtract 20 from both sides of the equation to solve for $x$:

$$x+20-20=45-20$$

$$x=25$$

Matching the Expressions

Now that we have solved for $x$, we can match each expression with the part of the story it represents:

• $x$: This represents the time that Lin walked, which is 25 minutes.
• $x+20$: This represents the time that Elena walked, which is 45 minutes (25 minutes + 20 minutes).
• $2(x+20)$: This represents the time that Jada walked, which is 90 minutes (2 times 45 minutes).
• $90$: This represents the total time that Jada walked.

Conclusion

In this article, we used the equation $2(x+20)=90$ to represent a situation where Elena walked 20 minutes more than Lin, Jada walked twice as long as Elena, and Jada walked for 90 minutes. We broke down the equation into its three main components and solved for the unknown value $x$. We then matched each expression with the part of the story it represents, providing a clear understanding of the problem and its solution.

Key Takeaways

• The equation $2(x+20)=90$ represents a situation where Elena walked 20 minutes more than Lin, Jada walked twice as long as Elena, and Jada walked for 90 minutes.
• The expression $x$ represents the time that Lin walked.
• The expression $x+20$ represents the time that Elena walked.
• The expression $2(x+20)$ represents the time that Jada walked.
• The expression $90$ represents the total time that Jada walked.

Real-World Applications

This type of problem can be applied to real-world situations where we need to solve for an unknown value based on a given equation. For example, in a business setting, we may need to determine the cost of producing a certain number of products based on a given equation. In a scientific setting, we may need to determine the rate of a chemical reaction based on a given equation. By understanding how to solve equations and match expressions with the part of the story they represent, we can apply this knowledge to a wide range of real-world situations.

Tips and Tricks

• When solving an equation, start by isolating the variable on one side of the equation.
• Use inverse operations to solve for the variable.
• Check your solution by plugging it back into the original equation.
• When matching expressions with the part of the story they represent, make sure to read the problem carefully and understand what each expression represents.

Common Mistakes

• Failing to isolate the variable on one side of the equation.
• Not using inverse operations to solve for the variable.
• Not checking the solution by plugging it back into the original equation.
• Not reading the problem carefully and understanding what each expression represents.

Conclusion

$$

Q: What is the equation $2(x+20)=90$ trying to represent?

A: The equation $2(x+20)=90$ is trying to represent a situation where Elena walked 20 minutes more than Lin, Jada walked twice as long as Elena, and Jada walked for 90 minutes.

Q: What does the expression $x$ represent in the equation?

A: The expression $x$ represents the time that Lin walked.

Q: What does the expression $x+20$ represent in the equation?

A: The expression $x+20$ represents the time that Elena walked, which is 20 minutes more than Lin.

Q: What does the expression $2(x+20)$ represent in the equation?

A: The expression $2(x+20)$ represents the time that Jada walked, which is twice as long as Elena.

Q: What does the expression $90$ represent in the equation?

A: The expression $90$ represents the total time that Jada walked.

Q: How do I solve the equation $2(x+20)=90$?

A: To solve the equation $2(x+20)=90$, start by dividing both sides of the equation by 2:

$$2(x+20)=90$$

$$x+20=\frac{90}{2}$$

$$x+20=45$$

Then, subtract 20 from both sides of the equation to solve for $x$:

$$x+20-20=45-20$$

$$x=25$$

Q: What is the value of $x$ in the equation $2(x+20)=90$?

A: The value of $x$ in the equation $2(x+20)=90$ is 25.

Q: What is the time that Elena walked in the equation $2(x+20)=90$?

A: The time that Elena walked in the equation $2(x+20)=90$ is 45 minutes, which is 25 minutes (the value of $x$) + 20 minutes.

Q: What is the time that Jada walked in the equation $2(x+20)=90$?

A: The time that Jada walked in the equation $2(x+20)=90$ is 90 minutes, which is twice as long as Elena (45 minutes).

Q: What is the total time that Jada walked in the equation $2(x+20)=90$?

A: The total time that Jada walked in the equation $2(x+20)=90$ is 90 minutes.

Q: How can I apply the concept of solving equations to real-world situations?

A: You can apply the concept of solving equations to real-world situations by using the same steps outlined in this article. For example, in a business setting, you may need to determine the cost of producing a certain number of products based on a given equation. In a scientific setting, you may need to determine the rate of a chemical reaction based on a given equation.

Q: What are some common mistakes to avoid when solving equations?

A: Some common mistakes to avoid when solving equations include:

• Failing to isolate the variable on one side of the equation.
• Not using inverse operations to solve for the variable.
• Not checking the solution by plugging it back into the original equation.
• Not reading the problem carefully and understanding what each expression represents.

Q: How can I improve my skills in solving equations?

A: You can improve your skills in solving equations by practicing regularly and applying the concepts to real-world situations. Additionally, you can seek help from a teacher or tutor if you are struggling with a particular concept.